Q: What are the factor combinations of the number 3,231,767?

 A:
Positive:   1 x 32317677 x 46168111 x 29379719 x 17009347 x 6876177 x 41971133 x 24299209 x 15463329 x 9823517 x 6251893 x 36191463 x 2209
Negative: -1 x -3231767-7 x -461681-11 x -293797-19 x -170093-47 x -68761-77 x -41971-133 x -24299-209 x -15463-329 x -9823-517 x -6251-893 x -3619-1463 x -2209


How do I find the factor combinations of the number 3,231,767?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 3,231,767, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 3,231,767
-1 -3,231,767

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,231,767.

Example:
1 x 3,231,767 = 3,231,767
and
-1 x -3,231,767 = 3,231,767
Notice both answers equal 3,231,767

With that explanation out of the way, let's continue. Next, we take the number 3,231,767 and divide it by 2:

3,231,767 ÷ 2 = 1,615,883.5

If the quotient is a whole number, then 2 and 1,615,883.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 3,231,767
-1 -3,231,767

Now, we try dividing 3,231,767 by 3:

3,231,767 ÷ 3 = 1,077,255.6667

If the quotient is a whole number, then 3 and 1,077,255.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 3,231,767
-1 -3,231,767

Let's try dividing by 4:

3,231,767 ÷ 4 = 807,941.75

If the quotient is a whole number, then 4 and 807,941.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 3,231,767
-1 3,231,767
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17111947771332093295178931,4632,2093,6196,2519,82315,46324,29941,97168,761170,093293,797461,6813,231,767
-1-7-11-19-47-77-133-209-329-517-893-1,463-2,209-3,619-6,251-9,823-15,463-24,299-41,971-68,761-170,093-293,797-461,681-3,231,767

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,231,767:


Ask a Question